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Sungrazing Comets

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The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 441))

Abstract

In this chapter, it is shown how simple analytical considerations of the Lidov-Kozai dynamics provide understanding for the origin of the cometary sungrazers and their pre-impact secular evolution.

… fatal phare

… Des vols migrateurs des plaintifs Icares!

Jules Laforgue, Clair de Lune

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Notes

  1. 1.

    For a discussion of this non-conservation see Szebehely (1967).

  2. 2.

    A long-period comet is the comet with the orbital period greater than 200 years.

  3. 3.

    The numerical technique for construction of the Kozai diagrams is described in detail further on, in Sect. 7.1

  4. 4.

    The Hill sphere of the Sun is defined in Sect. 9.4

  5. 5.

    The disk tide is the tidal force arising due to the change of the Galactic gravitational potential with distance from the Galactic midplane.

References

  • Bailey, M. E., Chambers, J. E., & Hahn, G. (1992) “Origin of sungrazers: a frequent cometary end-state.” Astron. Astrophys., 257, 315–322

    ADS  Google Scholar 

  • Brasser, R. (2001) “Some properties of a two-body system under the influence of the Galactic tidal field.” Mon. Not. R. Astron. Soc., 324, 1109–1116

    Article  ADS  Google Scholar 

  • Chirikov, B. V. (1979) “A universal instability of many-dimensional oscillator systems.” Phys. Rep., 52, 263–379

    Article  ADS  MathSciNet  Google Scholar 

  • Duncan, M. J., Quinn, T., & Tremaine, S. (1987) “The formation and extent of the solar system comet cloud.” Astron. J., 94, 1330–1338

    Article  ADS  Google Scholar 

  • Farinella, P., Froeschlé, Ch., Froeschlé, C., Gonczi, R., Hahn, G., Morbidelli, A., & Valsecchi, G. B. (1994) “Asteroids falling onto the Sun.” Nature, 371, 314–317

    Article  ADS  Google Scholar 

  • Fernández, J. A. (1997) “The formation of the Oort cloud and the primitive galactic environment.” Icarus, 129, 106–119

    Article  ADS  Google Scholar 

  • Fouchard, M., Froeschlé, Ch., Rickman, H., & Valsecchi, G. B. (2011) “The key role of massive stars in Oort cloud comet dynamics.” Icarus, 214, 334–347

    Article  ADS  Google Scholar 

  • Gordeeva, Yu. F. (1968) “The time dependence of elements in the long-period oscillations in the restricted three-body problem.” Cosmic Research, 6, 450–453

    ADS  Google Scholar 

  • Heisler, J., & Tremaine, S. (1986) “The influence of the galactic tidal field on the Oort comet cloud.” Icarus, 65, 13–26

    Article  ADS  Google Scholar 

  • Higuchi, A., Kokubo, E., Kinoshita, H., & Mukai, T. (2007) “Orbital evolution of planetesimals due to the Galactic tide: formation of the comet cloud.” Astron. J., 134, 1693–1706

    Article  ADS  Google Scholar 

  • Kozai, Y. (1962) “Secular perturbations of asteroids with high inclination and eccentricity.” Astron. J., 67, 591–598

    Article  ADS  MathSciNet  Google Scholar 

  • Kozai, Y. (1979) “Secular perturbations of asteroids and comets.” In: Dynamics of the Solar System, ed. by Duncombe, R. L. (Reidel, Dordrecht) pp. 231–237

    Google Scholar 

  • Kozai, Y. (1980) “Asteroids with large secular orbital variations.” Icarus, 41, 89–95

    Article  ADS  Google Scholar 

  • Kreutz, H. C. F. (1888) “Untersuchungen  uber das cometensystem 1843 I, 1880 I und 1882 II.” (Druck von C. Schaidt, Kiel)

    MATH  Google Scholar 

  • Lidov, M. L. (1961) “Evolution of artificial planetary satellites under the action of gravitational perturbations due to external bodies.” Iskusstviennye Sputniki Zemli (Artificial Satellites of the Earth), 8, 5–45 (in Russian)

    Google Scholar 

  • Lidov, M. L. (1963b) “On the approximate analysis of the evolution of orbits of artificial satellites.” In: Problems of the Motion of Artificial Celestial Bodies. (Reports at the Conference on general and applied problems of theoretical astronomy. Moscow, November 20–25, 1961.) (Publishers of the USSR Academy of Sciences, Moscow) pp. 119–134 (in Russian) [Available at NASA ADS: 1963pmac.book..119L, including incomplete English translation.]

    Google Scholar 

  • Matese, J. J., & Lissauer, J. J. (2002) “Characteristics and frequency of weak stellar impulses of the Oort cloud.” Icarus, 157, 228–240

    Article  ADS  Google Scholar 

  • Matese, J. J., & Whitman, P. G. (1989) “The galactic disk tidal field and the nonrandom distribution of observed Oort cloud comets.” Icarus, 82, 389–401

    Article  ADS  Google Scholar 

  • Matese, J. J., & Whitman, P. G. (1992) “A model of the Galactic tidal interaction with the Oort comet cloud.” Celest. Mech. Dyn. Astron., 54, 13–35

    Article  ADS  Google Scholar 

  • Morbidelli, A. (2002) Modern Celestial Mechanics (Taylor and Francis, London)

    Google Scholar 

  • Murray, C. D., & Dermott, S. F. (1999) Solar System Dynamics (Cambridge Univ. Press, Cambridge)

    MATH  Google Scholar 

  • Oort, J. H. (1950) “The structure of the cloud of comets surrounding the Solar System and a hypothesis concerning its origin.” Bull. Astron. Inst. Neth., 11, 91–110

    ADS  Google Scholar 

  • Quinn, T., Tremaine, S., & Duncan, M. (1990) “Planetary perturbations and the origin of short-period comets.” Astrophys. J., 355, 667–679

    Article  ADS  Google Scholar 

  • Shevchenko, I. I. (2000) “Geometry of a chaotic layer.” J. Exp. Theor. Phys., 91, 615–625

    Article  ADS  Google Scholar 

  • Shevchenko, I. I. (2011b) “The Kepler map in the three-body problem.” New Astronomy, 16, 94–99

    Article  ADS  Google Scholar 

  • Shevchenko, I. I. (2015) “Chaotic zones around gravitating binaries.” Astrophys. J., 799, 8 (7pp)

    Article  ADS  Google Scholar 

  • Szebehely, V. (1967) The Theory of Orbits (Academic Press, New York)

    Google Scholar 

  • Thomas, F., & Morbidelli, A. (1996) “The Kozai resonance in the outer solar system and the dynamics of long-period comets.” Celest. Mech. Dyn. Astron., 64, 209–229

    Article  ADS  MATH  Google Scholar 

  • Tisserand, F.-F. (1896) Traité de Mécanique Céleste IV (Gauthier-Villars, Paris)

    MATH  Google Scholar 

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  1. Pulkovo Observatory of the Russian Academy of Sciences, St. Petersburg, Russia

    Ivan I. Shevchenko

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  1. Ivan I. Shevchenko
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Shevchenko, I.I. (2017). Sungrazing Comets. In: The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy. Astrophysics and Space Science Library, vol 441. Springer, Cham. https://doi.org/10.1007/978-3-319-43522-0_6

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